Proof of the Thin Sandwich Conjecture

Details Proof of the Thin Sandwich Conjecture Proof of the Thin Sandwich Conjecture

1993-04-04

arxiv.org/abs/gr-qc/9304004v1

Phys.Rev. D48 (1993) 3596-3599

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1103/PhysRevD.48.3596

We prove that the Thin Sandwich Conjecture in general relativity is valid,
provided that the data $(g_{ab},\dot g_{ab})$ satisfy certain geometric
conditions. These conditions define an open set in the class of possible data,
but are not generically satisfied. The implications for the ``superspace''
picture of the Einstein evolution equations are discussed.

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